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  1. Home
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Miscellaneous·2022·Easy

Five friends P. O, X, Y and Z purchased some notebooks. The relevant information is given below: 1. Z purchased 8 notebooks more than X did. 2. P and Q together purchased 21 notebooks. 3. O purchased 5 notebooks less than P did. 4. X and Y together purchased 28 notebooks. 5. P purchased 5 notebooks more than X did. If each notebook is priced 40, then what is the total cost of all the notebooks?

Five friends P. O, X, Y and Z purchased some notebooks. The relevant information is given below: 1. Z purchased 8 notebooks more than X did. 2. P and Q together purchased 21 notebooks. 3. O purchased 5 notebooks less than P did. 4. X and Y together purchased 28 notebooks. 5. P purchased 5 notebooks more than X did. If each notebook is priced 40, then what is the total cost of all the notebooks?

Options

  1. a.

    2600

    Correct answer
  2. b.

    2400

  3. c.

    2360

  4. d.

    2320

Explanation

As per the information provided in the question: Statement 1 -> Z = X + 8 ….(i) Statement 2 -> P + Q = 21 ….(ii) Statement 3 -> Q = P – 5 ….(iii) Statement 4 -> X + Y = 28 ….(iv) Statement 5 -> P = X + 5 ….(v) Total number of Books = P + Q + X + Y + Z Solving equations (ii) and (iii), we get: P = 13 Q = P – 5 = 8 Using above result and equation (v), we get: X = P – 5 = 8 Using above result and equation (i), we get: Z = X + 8 = 16 Using (iv), we get: Y = 28 – 8 = 20 So, P + Q + X + Y + Z = 13 + 8 + 8 + 20 + 16 = 65 So, total cost of all the notebooks = 65 × 40 = Rs. 2600

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